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Search: id:A059409
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| 0, 4, 48, 448, 3840, 31744, 258048, 2080768, 16711680, 133955584, 1072693248, 8585740288, 68702699520, 549688705024, 4397778075648, 35183298347008, 281470681743360, 2251782633816064, 18014329790005248, 144114913197948928
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OFFSET
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0,2
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COMMENT
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Jordan's totient functions are described more fully in A059379 and A059380; for example, J_1(n) is Euler's totient function and J_2(n) the Moebius transform of squares.
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 199, #3.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,100
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FORMULA
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Equals J_n(8) (see A059379).
J_n(8) = 8^n - A024023(n) - A000225(n) - A000012(n)
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EXAMPLE
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(4,48,448,3840,...) = (8,64,512,4096....) - (2,12,56,240,...) - (1,3,7,15,...) - (1,1,1,1,...)
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PROGRAM
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(PARI) { for (n = 0, 100, write("b059409.txt", n, " ", 4^n*(2^n - 1)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 26 2009]
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CROSSREFS
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Cf. A059379, A059380.
Equals 4 * A016152.
Sequence in context: A091904 A158681 A111903 this_sequence A026942 A159903 A099671
Adjacent sequences: A059406 A059407 A059408 this_sequence A059410 A059411 A059412
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Alford Arnold (Alford1940(AT)aol.com), Jan 30 2001
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